Surprise
Solve for x: 3x + 1 < 16
x < 5
Solve for x: 10x - 4 = 36
x = 4
Would the situation below best be modeled by a linear, exponential, or quadratic equation?
Tommy does an act of kindness for 2 people. Those people both do an act of kindness for 2 more people. The acts of kindness continue in this pattern.
Exponential
The price of 3 sandwiches and 8 chips is $29. The price of 8 sandwiches and 3 chips is $25. Write the system of equations.
3x + 8y = 29
8x + 3y = 25
Find the equation of the line that goes through the points (0, -3) and (1, 4).
y = 7x - 3
Simplify: (2x - 3)(4x^2 - 7x + 5)
8x^3 - 26x^2 + 31x - 15
Solve for x: 3(4x + 1) = 27
x = 2
Write an equation to model the table below:
(x, y)
(0, 2)
(1, 14)
(2, 98)
(3, 686)
y = 2(7)^x
A phone company is making a new family plan that calculates a monthly bill by charging $20 per phone on the bill and a flat rate of $30 so that the family gets unlimited text messaging. The Johns family has a phone bill of $150. Which equation could be used to solve for the number of phones on the plan?
20x + 30 = 150
What is the special relationship between the lines below?
y = 6x - 7
y = (-1/6)x + 2
They are perpendicular
Factor the expression x^2 + 5x + 6
(x + 3)(x + 2)
Solve for x: 6x - 3 = 8x
x = -3/2 or x = -1.5
Would the situation below best be modeled by a quadratic, linear, or exponential function?
Jason is training to run a marathon. Right now he can run 3 miles. Each week, he runs another mile longer.
Linear
A ball is thrown from an initial height of 5 ft with an initial upward velocity of 25 ft/s. Write an equation to represent the ball's height, h, in feet as a function of time, t, in seconds since the ball was thrown.
h(t) = -16t^2 + 25t + 5
What is the equation of the line that passes throug the points (3, 3) and (6, 5)
y = (2/3)x + 1
Factor the expression x^2 - 6x - 72
(x + 6) (x - 12)
Solve for x: 4 + 2(x + 1) = 10 + 3x
x = -4
Write an equation to model the table below:
(x, y)
(0, 5)
(1, 10)
(2, 20)
(3, 40)
y = 5(2)^x
In a science lab, you start with 5 bacteria in a petri dish. You notice that every 30 minutes the number of bacteria triples. Would the situation be best represented by a linear, exponential or quadratic model?
Exponential
What is the special relationship between the lines below?
y = 6x - 4
y = 6x + 15
They are parallel
Solve for x: 15x + 40 > 100
x > 4
Solve for x: -2(4x + 9) = 2 - 7x - 5x
x = 5
Write an equation to model the table below:
(x, y)
(0, 12)
(1, 36)
(2, 108)
(3, 324)
y = 12(3)^x
A pancake starts to burn and is tossed out a 2nd story window. The window is 24 feet off the ground and the pancake is launched at an initial velocity of .1 feet per second. Write a function to model this situation.
h(t) = -16t^2+ .1t + 24
The price of 3 sandwiches and 8 chips is $30. The price of 8 sandwiches and 3 chips is $25. Write the system of equations. SOLVE the system of equations and SHOW/EXPLAIN all work.
(2, 3)